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Finding the Fourth Proportional to 5,836.24, 7,989.56 and 5,794.55

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Solution

The fourth proportional to 5,836.24, 7,989.56 and 5,794.55 is: 7,932.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.24 : 7,989.56 = 5,794.55 : x
  2. Step 2: Convert to fraction form
    5,836.24/7,989.56 = 5,794.55/x
  3. Step 3: Cross multiply
    5,836.24x = 7,989.56 × 5,794.55
  4. Step 4: Simplify right side
    5,836.24x = 46,295,904.90
  5. Step 5: Solve for x
    x = 46,295,904.90/5,836.24
  6. Step 6: Final answer
    x = 7,932.49

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.